2007/08/31 by Waheb Bishara, Chetan Nayak · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Algorithm #Combinatorics #Complex conjugate #Electron #Helpfulness #Mathematical analysis #Mathematics #Pfaffian #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum tunnelling #State (computer science) #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.77.165302
published as Phys. Rev. B 77, 165302 (2008) · 8 pages, 3 figures. Fixed typos, added refs 32-33
openalex publication_date 2008/04/01 · arxiv created 2008/04/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We compute the tunneling current in a double point contact geometry of a quantum Hall system at filling fraction \ensuremathν=(5)/(2), as a function of voltage and temperature, in the weak tunneling regime. We quantitatively compare two possible candidates for the state at \ensuremathν=(5)/(2): the Moore-Read Pfaffian state, and its particle-hole conjugate, the anti-Pfaffian. We find that both possibilities exhibit the same qualitative behavior, and both have an even-odd effect that reflects their non-Abelian nature, but differ quantitatively in their voltage and temperature dependence.